D ec 1 99 7 11 . 5 GENUS TWO HEEGAARD SPLITTINGS OF ORIENTABLE THREE - MANIFOLDS
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منابع مشابه
Genus Two Heegaard Splittings of Orientable Three-manifolds Hyam Rubinstein and Martin Scharlemann
Contents 1. Introduction 2 2. Cabling handlebodies 3 3. Seifert examples of multiple Heegaard splittings 6 4. Other examples of multiple Heegaard splittings 8 4.1. Cablings 9 4.2. Double cablings 10 4.3. Non-separating tori 11 4.4. K 4 examples 13 5. Essential annuli in genus two handlebodies 16 6. Canonical tori in Heegaard genus two manifolds 20 7. Longitudes in genus 2 handlebodies – some te...
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It is shown in [BoO] that any two genus one Heegaard splittings of the same manifold (typically a lens space) are isotopic. On the other hand, it is shown in [BCZ] that certain Seifert manifolds have distinct genus two Heegaard splittings (see also Section 3 here). In [RS] we presented a technique for comparing Heegaard splittings of the same manifold and, using this technique, derive the Bonah...
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The behaviour of finite covers of 3-manifolds is a very important, but poorly understood, topic. There are three, increasingly strong, conjectures in the field that have remained open for over twenty years – the virtually Haken conjecture, the positive virtual b 1 conjecture and the virtually fibred conjecture. Any of these would have profound ramifications for 3-manifold theory. In this paper,...
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